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Random Operators: Disorder Effects on Quantum Spectra and Dynamics (Graduate Studies in Mathematics) (Graduate Studies in Mathematics, 168) - Hardcover
Synopsis
This book provides an introduction to the mathematical theory of disorder effects on quantum spectra and dynamics. Topics covered range from the basic theory of spectra and dynamics of self-adjoint operators through Anderson localization-presented here via the fractional moment method, up to recent results on resonant delocalization. The subject's multifaceted presentation is organized into seventeen chapters, each focused on either a specific mathematical topic or on a demonstration of the theory's relevance to physics, e.g., its implications for the quantum Hall effect. The mathematical chapters include general relations of quantum spectra and dynamics, ergodicity and its implications, methods for establishing spectral and dynamical localization regimes, applications and properties of the Green function, its relation to the eigenfunction correlator, fractional moments of Herglotz-Pick functions, the phase diagram for tree graph operators, resonant delocalization, the spectral statistics conjecture, and related results. The text incorporates notes from courses that were presented at the authors' respective institutions and attended by graduate students and postdoctoral researchers.
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About the Author
Michael Aizenman, Princeton University, NJ, USA. Simone Warzel, Technische Universitat Munchen, Germany.
Review
It has been almost 25 years since the last major book on this subject. The authors masterfully update the subject but more importantly present their own probabilistic insights in clear fashion. This wonderful book is ideal for both researchers and advanced students. --Barry Simon, California Institute of Technology
"About this title" may belong to another edition of this title.
- PublisherAmerican Mathematical Society
- Publication date2015
- ISBN 10 1470419130
- ISBN 13 9781470419134
- BindingHardcover
- LanguageEnglish
- Number of pages326
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Random Operators : Disorder Effects on Quantum Spectra and Dynamics
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Random Operators Disorder Effects on Quantum Spectra and Dynamics
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Random Operators - Disorder Effects on Quantum Spectra and Dynamics
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Random Operators: Disorder Effects on Quantum Spectra and Dynamics
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Random Operators
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Condition: New. Provides an introduction to the mathematical theory of disorder effects on quantum spectra and dynamics. Topics covered range from the basic theory of spectra and dynamics of self-adjoint operators through Anderson localization - presented here via the frac. Seller Inventory # 768007530
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Random Operators: Disorder Effects on Quantum Spectra and Dynamics (Graduate Studies in Mathematics) (Graduate Studies in Mathematics, 168)
Published by
American Mathematical Society, 2015
ISBN 10: 1470419130
ISBN 13: 9781470419134
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Hardcover
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